GCF of 98/83, 77/21, 886/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/83, 77/21, 886/107 i.e 1/186501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/83, 77/21, 886/107.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 98/83,77/21,886/107?
Given fractions are 98/83,77/21,886/107
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 98/83,77/21,886/107, numerators are 98,77,886
Denominators are 83,21,107
The GCF of 98,77,886 is 1 .
LCM of 83,21,107 is 186501.
The greatest common factor of 98/83,77/21,886/107 = [GCF of 98,77,886]/[LCM of 83,21,107]= 1/186501
Therefore, the GCF of 98/83,77/21,886/107 is 1/186501.
To find the highest common factor of 98,77,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 77 are 1, 7, 11, 77
The factors of 886 are 1, 2, 443, 886
The HCF of 98,77,886 is 1.
Lets's calculate GCF of 98,77,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,77,886 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 98,77,886 . The biggest common factor number is the GCF number.
So the greatest common factor 98,77,886 is 1.
Lets's calculate LCM of 83,21,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 186501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186501
Therefore, the GCF of Fractions 98/83,77/21,886/107 is 1/186501
Least Common Multiple of 83,21,107 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 83,21,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,21,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,21,107) x common factors =1 x 1 = 1
LCM(83,21,107) = ( 83 × 21 × 107 ) / 1
LCM(83,21,107) = 186501 / 1
LCM(83,21,107) = 186501
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FAQs on GCF of Fractions of 98/83, 77/21, 886/107
1. What is the HCF of 98,77,886?
The HCF of 98,77,886 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 98/83, 77/21, 886/107?
Answer: GCF of Numerators as per given numbers 98/83, 77/21, 886/107 is
GCF of Numerators i.e. for 98,77,886 is 1
LCM of denominators i.e. for 83,21,107 is 186501.
Thus, GCF of Fractions is 1/186501.Finally, GCF of Fractions for 98/83, 77/21, 886/107 is 1/186501.